Questions tagged [laplace]

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How to numerically solve Laplacian Equation in a system dependent boundary conditions?

I would like to solve the Laplacian equation in the following system in order to find out the potential and the Electric field everywhere. I have solved a couple of exercises by solving numerically ...
1
vote
1answer
51 views

I ask for help with commands TransferFunctionModel + StateSpaceModel

Given system of ODE: $\begin{cases} \dot{x}=G+u_1 \\ \dot{z}=-z+\frac{df}{dt} \\ \dot{G}=-G+z \cdot u_2 \end{cases}$ where $f=-x^2$, $u_1=\frac{d}{dt}(\alpha \sin(\omega \cdot t))$ and $u_2=\alpha \...
2
votes
2answers
56 views

Removing transient part in equation and solving for a general form

I have the following code that I run: ...
1
vote
1answer
73 views

Numerical Laplace Transform using Fourier transform and plotting results [closed]

I would like to take a numerical transform of interpolating functions which is a solution of at least two coupled differential equations. But for this question, I am simplifying the solution to make ...